GCF of 6420/992, 7631/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6420/992, 7631/358 i.e 1/177568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6420/992, 7631/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6420/992,7631/358?
Given fractions are 6420/992,7631/358
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6420/992,7631/358, numerators are 6420,7631
Denominators are 992,358
The GCF of 6420,7631 is 1 .
LCM of 992,358 is 177568.
The greatest common factor of 6420/992,7631/358 = [GCF of 6420,7631]/[LCM of 992,358]= 1/177568
Therefore, the GCF of 6420/992,7631/358 is 1/177568.
To find the highest common factor of 6420,7631, we have to find the factors of both numbers and list the highest common factor.
The factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420
The factors of 7631 are 1, 13, 587, 7631
The HCF of 6420,7631 is 1.
Lets's calculate GCF of 6420,7631
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6420,7631 By Matching Biggest Common Factor Method
Now, list down the factors of 6420
:1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Now, list down the factors of 7631
:1,13,587,7631
Greatest Common Factor
We found the factors 6420,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 6420,7631 is 1.
Lets's calculate LCM of 992,358
| 2 | 992, 358 |
| 496, 179 |
∴ So the LCM of the given numbers is 2 x 496 x 179 = 177568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177568
Therefore, the GCF of Fractions 6420/992,7631/358 is 1/177568
Least Common Multiple of 992,358 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 992,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,358) x common factors =2 x 1 = 2
LCM(992,358) = ( 992 × 358 ) / 2
LCM(992,358) = 355136 / 2
LCM(992,358) = 177568
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6420/992, 7631/358
1. What is the HCF of 6420,7631?
The HCF of 6420,7631 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6420/992, 7631/358?
Answer: GCF of Numerators as per given numbers 6420/992, 7631/358 is
GCF of Numerators i.e. for 6420,7631 is 1
LCM of denominators i.e. for 992,358 is 177568.
Thus, GCF of Fractions is 1/177568.Finally, GCF of Fractions for 6420/992, 7631/358 is 1/177568.